{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "from scipy.stats import gaussian_kde\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn import datasets\n",
    "from sklearn.cross_validation import train_test_split\n",
    "\n",
    "X, y = datasets.make_classification(n_samples=50000, n_features=20,\n",
    "                                    n_informative=2, n_redundant=5,\n",
    "                                    random_state=0)\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "    X, y, train_size=500, random_state=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Probability reliability plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.calibration import calibration_curve\n",
    "\n",
    "\n",
    "def plot_calibration(classifiers, figsize=(10, 8)):\n",
    "    plt.figure(figsize=figsize)\n",
    "    ax1 = plt.subplot2grid((3, 1), (0, 0), rowspan=2)\n",
    "    ax2 = plt.subplot2grid((3, 1), (2, 0))\n",
    "\n",
    "    ax1.plot([0, 1], [0, 1], \"k:\", label=\"Perfectly calibrated\")\n",
    "\n",
    "    colors = plt.cm.rainbow(np.linspace(0, 1, len(classifiers)))\n",
    "    for (name, clf), c in zip(classifiers, colors):\n",
    "        clf.fit(X_train, y_train)\n",
    "        if hasattr(clf, \"predict_proba\"):\n",
    "            prob_pos = clf.predict_proba(X_test)[:, 1]\n",
    "        else:  # use decision function\n",
    "            prob_pos = clf.decision_function(X_test)\n",
    "            prob_pos = \\\n",
    "                (prob_pos - prob_pos.min()) / (prob_pos.max() - prob_pos.min())\n",
    "        fraction_of_positives, mean_predicted_value = \\\n",
    "            calibration_curve(y_test, prob_pos, n_bins=10)\n",
    "\n",
    "        ax1.plot(mean_predicted_value, fraction_of_positives, \"s-\",\n",
    "                 label=\"%s\" % name, c=c)\n",
    "\n",
    "        x = np.linspace(0, 1, 500)\n",
    "        smoothed_prob_pos = gaussian_kde(prob_pos)(x)\n",
    "        ax2.plot(x, smoothed_prob_pos, c=c)\n",
    "        ax2.fill_between(x, 0, smoothed_prob_pos, alpha=0.1, facecolor=c)\n",
    "\n",
    "    ax1.set_ylabel(\"Fraction of positives\")\n",
    "    ax1.set_ylim([-0.05, 1.05])\n",
    "    ax1.legend(loc=\"lower right\")\n",
    "    ax1.set_title('Calibration plots  (reliability curve)')\n",
    "\n",
    "    ax2.set_xlabel(\"Mean predicted value\")\n",
    "    ax2.set_ylabel(\"# samples\")\n",
    "\n",
    "    plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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       "MzMzK3GSbGZmZmZW4iTZzMzMzKzk/wGVXma9I8ZbdgAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107f913c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "\n",
    "lr = LogisticRegression()\n",
    "plot_calibration([('Logistic Regression', lr)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
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       "AAAASUVORK5CYII=\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c736748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.svm import LinearSVC\n",
    "\n",
    "svc = LinearSVC(C=1.0)\n",
    "plot_calibration([('Support Vector Machine', svc)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Logistic Regression: 0.878\n",
      "Linear SVC: 0.876\n"
     ]
    }
   ],
   "source": [
    "from sklearn.cross_validation import cross_val_score\n",
    "\n",
    "print(\"Logistic Regression: %0.3f\" %\n",
    "      cross_val_score(lr, X_train, y_train, cv=5).mean())\n",
    "print(\"Linear SVC: %0.3f\" %\n",
    "      cross_val_score(svc, X_train, y_train, cv=5).mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "PUBxq8Uxe7m2mVlXKGLBRz0yM1vyJH0T+GhE3LvQdTEzs7m5J9nMzMzMrIV7ks3MzMzMWrgn2czM\n",
       "zMyshUOymZmZmVkLh2QzMzMzsxYOyWZmZmZmLRySzczMzMxa/D+A7n42ZOAh1QAAAABJRU5ErkJg\n",
       "gg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104e480b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "\n",
    "\n",
    "rf = RandomForestClassifier(n_estimators=100)\n",
    "plot_calibration([('Random Forest', rf)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "M7McJ8lmZmZmZjn/BSIMbB88g0KSAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109397748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.naive_bayes import GaussianNB\n",
    "\n",
    "gnb = GaussianNB()\n",
    "plot_calibration([('Naive Bayes', gnb)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a207a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "classifiers =  [\n",
    "    ('Logistic Regression', lr),\n",
    "    ('Naive Bayes', gnb),\n",
    "    ('Support Vector Classification', svc),\n",
    "    ('Random Forest', rf),\n",
    "]\n",
    "\n",
    "plot_calibration(classifiers)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calibration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "CCFGkSRZCCGEEEKIUSRJFkIIIYQQYpT/D1sDcK7r7IUYAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c91fef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.calibration import CalibratedClassifierCV\n",
    "\n",
    "svc = LinearSVC(C=1.0)\n",
    "sigmoid_svc = CalibratedClassifierCV(svc, method='sigmoid')\n",
    "isotonic_svc = CalibratedClassifierCV(svc, method='isotonic')\n",
    "svc_models = [\n",
    "    ('SVM (raw)', svc),\n",
    "    ('SVM + sigmoid calibration', sigmoid_svc),\n",
    "    ('SVM + isotonic calibration', isotonic_svc),\n",
    "]\n",
    "plot_calibration(svc_models)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c79d748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gnb = GaussianNB()\n",
    "sigmoid_gnb = CalibratedClassifierCV(gnb, method='sigmoid')\n",
    "isotonic_gnb = CalibratedClassifierCV(gnb, method='isotonic')\n",
    "gnb_models = [\n",
    "    ('Naive Bayes (without calibration)', gnb),\n",
    "    ('Naive Bayes + sigmoid calibration', sigmoid_gnb),\n",
    "    ('Naive Bayes + isotonic calibration', isotonic_gnb),\n",
    "]\n",
    "plot_calibration(gnb_models)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Naive Bayes (without calibration):\tBrier score = 0.118, log loss = 0.637\n",
      "Naive Bayes + sigmoid calibration:\tBrier score = 0.111, log loss = 0.371\n",
      "Naive Bayes + isotonic calibration:\tBrier score = 0.100, log loss = 0.439\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import log_loss, brier_score_loss\n",
    "\n",
    "for name, model in gnb_models:\n",
    "    prob_pos = model.fit(X_train, y_train).predict_proba(X_test)[:, 1]\n",
    "    \n",
    "    bs = brier_score_loss(y_test,prob_pos)\n",
    "    ll = log_loss(y_test, prob_pos)\n",
    "    print(\"%s:\\tBrier score = %0.3f, log loss = %0.3f\"\n",
    "          % (name, bs, ll))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.4.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
